FINITE PRESENTABILITY OF BRUCK–REILLY EXTENSIONS OF CLIFFORD MONOIDS-Reference-Cited by-同舟云学术

FINITE PRESENTABILITY OF BRUCK–REILLY EXTENSIONS OF CLIFFORD MONOIDS

Published:2007-10 Issue:05 Volume:06 Page:801-814
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CARVALHO C. A.¹,RUSKUC N.²

Affiliation:

1. Department of Computer Science, Durham University, South Road, Durham DH1 3LE, UK

2. School of Mathematics and Statistics, University of St Andrews, St Andrews KY16 9SS, UK

Abstract

Let M be a Clifford monoid and let θ be an endomorphism of M. We prove that if the Bruck–Reilly extension BR(M, θ) is finitely presented then M is finitely generated. This allows us to derive necessary and sufficient conditions for Bruck–Reilly extensions of Clifford monoids to be finitely presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498807002508

Reference14 articles.

1. On generators and relations for unions of semigroups

2. Finite Presentability of Bruck–Reilly Extensions of Groups

3. Topics in Combinatorial Group Theory

4. A Survey of Binary Systems

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